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A310025
Coordination sequence Gal.4.31.2 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.
0
1, 3, 5, 8, 10, 15, 18, 19, 22, 25, 28, 31, 34, 38, 39, 41, 46, 47, 49, 54, 58, 61, 60, 63, 70, 69, 70, 77, 82, 84, 81, 85, 94, 91, 91, 100, 106, 107, 102, 107, 118, 113, 112, 123, 130, 130, 123, 129, 142, 135
OFFSET
0,2
COMMENTS
Note that there may be other vertices in the Galebach list of u-uniform tilings with u <= 6 that have this same coordination sequence. See the Galebach link for the complete list of A-numbers for all these tilings.
FORMULA
Conjectures from Chai Wah Wu, Dec 10 2018: (Start)
a(n) = 2*a(n-1) - 3*a(n-2) + 4*a(n-3) - 5*a(n-4) + 6*a(n-5) - 7*a(n-6) + 8*a(n-7) - 7*a(n-8) + 6*a(n-9) - 5*a(n-10) + 4*a(n-11) - 3*a(n-12) + 2*a(n-13) - a(n-14) for n > 16.
G.f.: (-2*x^16 + 4*x^15 - 3*x^14 + 5*x^13 - 4*x^12 + 11*x^11 - 4*x^10 + 12*x^9 - 2*x^8 + 11*x^7 + 8*x^5 + 2*x^4 + 3*x^3 + 2*x^2 + x + 1)/((x - 1)^2*(x^2 + 1)^2*(x^4 + 1)^2). (End)
CROSSREFS
Sequence in context: A190488 A182082 A117467 * A133097 A117176 A212987
KEYWORD
nonn
AUTHOR
STATUS
approved